2-3(x+4)2=8

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Solution for 2-3(x+4)2=8 equation: 


Simplifying
2 + -3(x + 4) * 2 = 8

Reorder the terms:
2 + -3(4 + x) * 2 = 8

Reorder the terms for easier multiplication:
2 + -3 * 2(4 + x) = 8

Multiply -3 * 2
2 + -6(4 + x) = 8
2 + (4 * -6 + x * -6) = 8
2 + (-24 + -6x) = 8

Combine like terms: 2 + -24 = -22
-22 + -6x = 8

Solving
-22 + -6x = 8

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '22' to each side of the equation.
-22 + 22 + -6x = 8 + 22

Combine like terms: -22 + 22 = 0
0 + -6x = 8 + 22
-6x = 8 + 22

Combine like terms: 8 + 22 = 30
-6x = 30

Divide each side by '-6'.
x = -5

Simplifying
x = -5

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